Least Common Multiple of 2039 and 2040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2039 and 2040 the smallest integer that is 4159560 that is divisible by both numbers.

Least Common Multiple (LCM) of 2039 and 2040 is 4159560.

LCM(2039,2040) = 4159560

LCM of 2039 and 2040

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2039 and 2040

LCM of 2039 and 2040 is 4159560

Least common multiple can be found by multiplying the highest exponent prime factors of 2039 and 2040. First we will calculate the prime factors of 2039 and 2040.

Prime Factorization of 2039


2039 2039
1

Prime factors of 2039 are 2039. Prime factorization of 2039 in exponential form is:

2039 = 20391

Prime Factorization of 2040


2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 2040 are 2, 3, 5,17. Prime factorization of 2040 in exponential form is:

2040 = 23×31×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2039 and 2040.

LCM(2039,2040) = 23×31×51×171×20391
LCM(2039,2040) = 4159560

Factors of 2039

List of positive integer factors of 2039 that divides 2039 without a remainder.

1, 2039

Factors of 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040

Least Common Multiple of 2039 and 2040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2039 and 2040, than apply into the LCM equation.

GCF(2039,2040) = 1
LCM(2039,2040) = ( 2039 × 2040) / 1
LCM(2039,2040) = 4159560 / 1
LCM(2039,2040) = 4159560

Properties of LCM 2039 and 2040

(i) The LCM of 2040 and 2039 is associative

LCM of 2039 and 2040 = LCM of 2040 and 2039

Related Least Common Multiples of 2039

Related Least Common Multiples of 2040

Frequently Asked Questions on LCM of 2039 and 2040

1. What is the LCM of 2039 and 2040?

Answer: LCM of 2039 and 2040 is 4159560.

2. What are the Factors of 2039?

Answer: Factors of 2039 are 1, 2039. There are 2 integers that are factors of 2039. The greatest factor of 2039 is 2039.

3. What are the Factors of 2040?

Answer: Factors of 2040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040. There are 32 integers that are factors of 2040. The greatest factor of 2040 is 2040.

4. How to Find the LCM of 2039 and 2040?

Answer:

Least Common Multiple of 2039 and 2040 = 4159560

Step 1: Find the prime factorization of 2039

2039 = 2039

Step 2: Find the prime factorization of 2040

2040 = 2 x 2 x 2 x 3 x 5 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 4159560 = 2 x 2 x 2 x 3 x 5 x 17 x 2039

Step 4: Therefore, the least common multiple of 2039 and 2040 is 4159560.